geometry.manifold.algebra.smooth_functions ⟷ Mathlib.Geometry.Manifold.Algebra.SmoothFunctions

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

@@ -3,7 +3,7 @@ Copyright © 2020 Nicolò Cavalleri. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri
 -/
-import Mathbin.Geometry.Manifold.Algebra.Structures
+import Geometry.Manifold.Algebra.Structures
 
 #align_import geometry.manifold.algebra.smooth_functions from "leanprover-community/mathlib"@"728ef9dbb281241906f25cbeb30f90d83e0bb451"
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/001ffdc42920050657fd45bd2b8bfbec8eaaeb29

@@ -306,11 +306,11 @@ field `𝕜` inherit a vector space structure.
 -/
 
 
-#print SmoothMap.hasSmul /-
-instance hasSmul {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
+#print SmoothMap.instSMul /-
+instance instSMul {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     SMul 𝕜 C^∞⟮I, N; 𝓘(𝕜, V), V⟯ :=
   ⟨fun r f => ⟨r • f, smooth_const.smul f.Smooth⟩⟩
-#align smooth_map.has_smul SmoothMap.hasSmul
+#align smooth_map.has_smul SmoothMap.instSMul
 -/
 
 #print SmoothMap.coe_smul /-
@@ -412,11 +412,11 @@ If `V` is a module over `𝕜`, then we show that the space of smooth functions
 is naturally a vector space over the ring of smooth functions from `N` to `𝕜`. -/
 
 
-#print SmoothMap.instSmul' /-
-instance instSmul' {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
+#print SmoothMap.instSMul' /-
+instance instSMul' {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     SMul C^∞⟮I, N; 𝕜⟯ C^∞⟮I, N; 𝓘(𝕜, V), V⟯ :=
   ⟨fun f g => ⟨fun x => f x • g x, Smooth.smul f.2 g.2⟩⟩
-#align smooth_map.has_smul' SmoothMap.instSmul'
+#align smooth_map.has_smul' SmoothMap.instSMul'
 -/
 
 #print SmoothMap.smul_comp' /-

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

@@ -175,9 +175,9 @@ instance group {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [
     Group C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.monoid with
     inv := fun f => ⟨fun x => (f x)⁻¹, f.Smooth.inv⟩
-    mul_left_inv := fun a => by ext <;> exact mul_left_inv _
+    hMul_left_inv := fun a => by ext <;> exact mul_left_inv _
     div := fun f g => ⟨f / g, f.Smooth.div g.Smooth⟩
-    div_eq_mul_inv := fun f g => by ext <;> exact div_eq_mul_inv _ _ }
+    div_eq_hMul_inv := fun f g => by ext <;> exact div_eq_mul_inv _ _ }
 #align smooth_map.group SmoothMap.group
 #align smooth_map.add_group SmoothMap.addGroup
 -/
@@ -369,7 +369,7 @@ def C : 𝕜 →+* C^∞⟮I, N; 𝓘(𝕜, A), A⟯
     where
   toFun := fun c : 𝕜 => ⟨fun x => (algebraMap 𝕜 A) c, smooth_const⟩
   map_one' := by ext x <;> exact (algebraMap 𝕜 A).map_one
-  map_mul' c₁ c₂ := by ext x <;> exact (algebraMap 𝕜 A).map_mul _ _
+  map_mul' c₁ c₂ := by ext x <;> exact (algebraMap 𝕜 A).map_hMul _ _
   map_zero' := by ext x <;> exact (algebraMap 𝕜 A).map_zero
   map_add' c₁ c₂ := by ext x <;> exact (algebraMap 𝕜 A).map_add _ _
 #align smooth_map.C SmoothMap.C
@@ -435,7 +435,7 @@ instance module' {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
   smul := (· • ·)
   smul_add c f g := by ext x <;> exact smul_add (c x) (f x) (g x)
   add_smul c₁ c₂ f := by ext x <;> exact add_smul (c₁ x) (c₂ x) (f x)
-  mul_smul c₁ c₂ f := by ext x <;> exact mul_smul (c₁ x) (c₂ x) (f x)
+  hMul_smul c₁ c₂ f := by ext x <;> exact mul_smul (c₁ x) (c₂ x) (f x)
   one_smul f := by ext x <;> exact one_smul 𝕜 (f x)
   zero_smul f := by ext x <;> exact zero_smul _ _
   smul_zero r := by ext x <;> exact smul_zero _

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

@@ -2,14 +2,11 @@
 Copyright © 2020 Nicolò Cavalleri. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri
-
-! This file was ported from Lean 3 source module geometry.manifold.algebra.smooth_functions
-! leanprover-community/mathlib commit 728ef9dbb281241906f25cbeb30f90d83e0bb451
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Geometry.Manifold.Algebra.Structures
 
+#align_import geometry.manifold.algebra.smooth_functions from "leanprover-community/mathlib"@"728ef9dbb281241906f25cbeb30f90d83e0bb451"
+
 /-!
 # Algebraic structures over smooth functions
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/728ef9dbb281241906f25cbeb30f90d83e0bb451

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri
 
 ! This file was ported from Lean 3 source module geometry.manifold.algebra.smooth_functions
-! leanprover-community/mathlib commit e5ab837fc252451f3eb9124ae6e7b6f57455e7b9
+! leanprover-community/mathlib commit 728ef9dbb281241906f25cbeb30f90d83e0bb451
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Geometry.Manifold.Algebra.Structures
 /-!
 # Algebraic structures over smooth functions
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file, we define instances of algebraic structures over smooth functions.
 -/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/9240e8be927a0955b9a82c6c85ef499ee3a626b8

@@ -32,40 +32,50 @@ variable {𝕜 : Type _} [NontriviallyNormedField 𝕜] {E : Type _} [NormedAddC
 
 namespace SmoothMap
 
+#print SmoothMap.instMul /-
 @[to_additive]
-instance hasMul {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G] :
+instance instMul {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G] :
     Mul C^∞⟮I, N; I', G⟯ :=
   ⟨fun f g => ⟨f * g, f.Smooth.mul g.Smooth⟩⟩
-#align smooth_map.has_mul SmoothMap.hasMul
-#align smooth_map.has_add SmoothMap.hasAdd
+#align smooth_map.has_mul SmoothMap.instMul
+#align smooth_map.has_add SmoothMap.instAdd
+-/
 
+#print SmoothMap.coe_mul /-
 @[simp, to_additive]
 theorem coe_mul {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G]
     (f g : C^∞⟮I, N; I', G⟯) : ⇑(f * g) = f * g :=
   rfl
 #align smooth_map.coe_mul SmoothMap.coe_mul
 #align smooth_map.coe_add SmoothMap.coe_add
+-/
 
+#print SmoothMap.mul_comp /-
 @[simp, to_additive]
 theorem mul_comp {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G]
     (f g : C^∞⟮I'', N'; I', G⟯) (h : C^∞⟮I, N; I'', N'⟯) : (f * g).comp h = f.comp h * g.comp h :=
   by ext <;> simp only [ContMDiffMap.comp_apply, coe_mul, Pi.mul_apply]
 #align smooth_map.mul_comp SmoothMap.mul_comp
 #align smooth_map.add_comp SmoothMap.add_comp
+-/
 
+#print SmoothMap.instOne /-
 @[to_additive]
-instance hasOne {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G] :
+instance instOne {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G] :
     One C^∞⟮I, N; I', G⟯ :=
   ⟨ContMDiffMap.const (1 : G)⟩
-#align smooth_map.has_one SmoothMap.hasOne
-#align smooth_map.has_zero SmoothMap.hasZero
+#align smooth_map.has_one SmoothMap.instOne
+#align smooth_map.has_zero SmoothMap.instZero
+-/
 
+#print SmoothMap.coe_one /-
 @[simp, to_additive]
 theorem coe_one {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G] :
     ⇑(1 : C^∞⟮I, N; I', G⟯) = 1 :=
   rfl
 #align smooth_map.coe_one SmoothMap.coe_one
 #align smooth_map.coe_zero SmoothMap.coe_zero
+-/
 
 section GroupStructure
 
@@ -77,23 +87,28 @@ under pointwise multiplication.
 -/
 
 
+#print SmoothMap.semigroup /-
 @[to_additive]
 instance semigroup {G : Type _} [Semigroup G] [TopologicalSpace G] [ChartedSpace H' G]
     [SmoothMul I' G] : Semigroup C^∞⟮I, N; I', G⟯ :=
-  { SmoothMap.hasMul with mul_assoc := fun a b c => by ext <;> exact mul_assoc _ _ _ }
+  { SmoothMap.instMul with mul_assoc := fun a b c => by ext <;> exact mul_assoc _ _ _ }
 #align smooth_map.semigroup SmoothMap.semigroup
 #align smooth_map.add_semigroup SmoothMap.addSemigroup
+-/
 
+#print SmoothMap.monoid /-
 @[to_additive]
 instance monoid {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G] :
     Monoid C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.semigroup,
-    SmoothMap.hasOne with
+    SmoothMap.instOne with
     one_mul := fun a => by ext <;> exact one_mul _
     mul_one := fun a => by ext <;> exact mul_one _ }
 #align smooth_map.monoid SmoothMap.monoid
 #align smooth_map.add_monoid SmoothMap.addMonoid
+-/
 
+#print SmoothMap.coeFnMonoidHom /-
 /-- Coercion to a function as an `monoid_hom`. Similar to `monoid_hom.coe_fn`. -/
 @[to_additive "Coercion to a function as an `add_monoid_hom`. Similar to `add_monoid_hom.coe_fn`.",
   simps]
@@ -105,9 +120,11 @@ def coeFnMonoidHom {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H'
   map_mul' := coe_mul
 #align smooth_map.coe_fn_monoid_hom SmoothMap.coeFnMonoidHom
 #align smooth_map.coe_fn_add_monoid_hom SmoothMap.coeFnAddMonoidHom
+-/
 
 variable (I N)
 
+#print SmoothMap.compLeftMonoidHom /-
 /-- For a manifold `N` and a smooth homomorphism `φ` between Lie groups `G'`, `G''`, the
 'left-composition-by-`φ`' group homomorphism from `C^∞⟮I, N; I', G'⟯` to `C^∞⟮I, N; I'', G''⟯`. -/
 @[to_additive
@@ -122,9 +139,11 @@ def compLeftMonoidHom {G' : Type _} [Monoid G'] [TopologicalSpace G'] [ChartedSp
   map_mul' f g := by ext x <;> show φ (f x * g x) = φ (f x) * φ (g x) <;> simp
 #align smooth_map.comp_left_monoid_hom SmoothMap.compLeftMonoidHom
 #align smooth_map.comp_left_add_monoid_hom SmoothMap.compLeftAddMonoidHom
+-/
 
 variable (I') {N}
 
+#print SmoothMap.restrictMonoidHom /-
 /-- For a Lie group `G` and open sets `U ⊆ V` in `N`, the 'restriction' group homomorphism from
 `C^∞⟮I, V; I', G⟯` to `C^∞⟮I, U; I', G⟯`. -/
 @[to_additive
@@ -137,16 +156,20 @@ def restrictMonoidHom (G : Type _) [Monoid G] [TopologicalSpace G] [ChartedSpace
   map_mul' f g := rfl
 #align smooth_map.restrict_monoid_hom SmoothMap.restrictMonoidHom
 #align smooth_map.restrict_add_monoid_hom SmoothMap.restrictAddMonoidHom
+-/
 
 variable {I N I' N'}
 
+#print SmoothMap.commMonoid /-
 @[to_additive]
 instance commMonoid {G : Type _} [CommMonoid G] [TopologicalSpace G] [ChartedSpace H' G]
     [SmoothMul I' G] : CommMonoid C^∞⟮I, N; I', G⟯ :=
-  { SmoothMap.monoid, SmoothMap.hasOne with mul_comm := fun a b => by ext <;> exact mul_comm _ _ }
+  { SmoothMap.monoid, SmoothMap.instOne with mul_comm := fun a b => by ext <;> exact mul_comm _ _ }
 #align smooth_map.comm_monoid SmoothMap.commMonoid
 #align smooth_map.add_comm_monoid SmoothMap.addCommMonoid
+-/
 
+#print SmoothMap.group /-
 @[to_additive]
 instance group {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [LieGroup I' G] :
     Group C^∞⟮I, N; I', G⟯ :=
@@ -157,27 +180,34 @@ instance group {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [
     div_eq_mul_inv := fun f g => by ext <;> exact div_eq_mul_inv _ _ }
 #align smooth_map.group SmoothMap.group
 #align smooth_map.add_group SmoothMap.addGroup
+-/
 
+#print SmoothMap.coe_inv /-
 @[simp, to_additive]
 theorem coe_inv {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [LieGroup I' G]
     (f : C^∞⟮I, N; I', G⟯) : ⇑f⁻¹ = f⁻¹ :=
   rfl
 #align smooth_map.coe_inv SmoothMap.coe_inv
 #align smooth_map.coe_neg SmoothMap.coe_neg
+-/
 
+#print SmoothMap.coe_div /-
 @[simp, to_additive]
 theorem coe_div {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [LieGroup I' G]
     (f g : C^∞⟮I, N; I', G⟯) : ⇑(f / g) = f / g :=
   rfl
 #align smooth_map.coe_div SmoothMap.coe_div
 #align smooth_map.coe_sub SmoothMap.coe_sub
+-/
 
+#print SmoothMap.commGroup /-
 @[to_additive]
 instance commGroup {G : Type _} [CommGroup G] [TopologicalSpace G] [ChartedSpace H' G]
     [LieGroup I' G] : CommGroup C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.group, SmoothMap.commMonoid with }
 #align smooth_map.comm_group SmoothMap.commGroup
 #align smooth_map.add_comm_group SmoothMap.addCommGroup
+-/
 
 end GroupStructure
 
@@ -191,6 +221,7 @@ under pointwise multiplication.
 -/
 
 
+#print SmoothMap.semiring /-
 instance semiring {R : Type _} [Semiring R] [TopologicalSpace R] [ChartedSpace H' R]
     [SmoothRing I' R] : Semiring C^∞⟮I, N; I', R⟯ :=
   { SmoothMap.addCommMonoid,
@@ -200,19 +231,25 @@ instance semiring {R : Type _} [Semiring R] [TopologicalSpace R] [ChartedSpace H
     zero_mul := fun a => by ext <;> exact MulZeroClass.zero_mul _
     mul_zero := fun a => by ext <;> exact MulZeroClass.mul_zero _ }
 #align smooth_map.semiring SmoothMap.semiring
+-/
 
+#print SmoothMap.ring /-
 instance ring {R : Type _} [Ring R] [TopologicalSpace R] [ChartedSpace H' R] [SmoothRing I' R] :
     Ring C^∞⟮I, N; I', R⟯ :=
   { SmoothMap.semiring, SmoothMap.addCommGroup with }
 #align smooth_map.ring SmoothMap.ring
+-/
 
+#print SmoothMap.commRing /-
 instance commRing {R : Type _} [CommRing R] [TopologicalSpace R] [ChartedSpace H' R]
     [SmoothRing I' R] : CommRing C^∞⟮I, N; I', R⟯ :=
   { SmoothMap.semiring, SmoothMap.addCommGroup, SmoothMap.commMonoid with }
 #align smooth_map.comm_ring SmoothMap.commRing
+-/
 
 variable (I N)
 
+#print SmoothMap.compLeftRingHom /-
 /-- For a manifold `N` and a smooth homomorphism `φ` between smooth rings `R'`, `R''`, the
 'left-composition-by-`φ`' ring homomorphism from `C^∞⟮I, N; I', R'⟯` to `C^∞⟮I, N; I'', R''⟯`. -/
 def compLeftRingHom {R' : Type _} [Ring R'] [TopologicalSpace R'] [ChartedSpace H' R']
@@ -223,9 +260,11 @@ def compLeftRingHom {R' : Type _} [Ring R'] [TopologicalSpace R'] [ChartedSpace
     SmoothMap.compLeftAddMonoidHom I N φ.toAddMonoidHom hφ with
     toFun := fun f => ⟨φ ∘ f, fun x => (hφ.Smooth _).comp x (f.ContMDiff x)⟩ }
 #align smooth_map.comp_left_ring_hom SmoothMap.compLeftRingHom
+-/
 
 variable (I') {N}
 
+#print SmoothMap.restrictRingHom /-
 /-- For a "smooth ring" `R` and open sets `U ⊆ V` in `N`, the "restriction" ring homomorphism from
 `C^∞⟮I, V; I', R⟯` to `C^∞⟮I, U; I', R⟯`. -/
 def restrictRingHom (R : Type _) [Ring R] [TopologicalSpace R] [ChartedSpace H' R] [SmoothRing I' R]
@@ -233,9 +272,11 @@ def restrictRingHom (R : Type _) [Ring R] [TopologicalSpace R] [ChartedSpace H'
   { SmoothMap.restrictMonoidHom I I' R h, SmoothMap.restrictAddMonoidHom I I' R h with
     toFun := fun f => ⟨f ∘ Set.inclusion h, f.Smooth.comp (smooth_inclusion h)⟩ }
 #align smooth_map.restrict_ring_hom SmoothMap.restrictRingHom
+-/
 
 variable {I N I' N'}
 
+#print SmoothMap.coeFnRingHom /-
 /-- Coercion to a function as a `ring_hom`. -/
 @[simps]
 def coeFnRingHom {R : Type _} [CommRing R] [TopologicalSpace R] [ChartedSpace H' R]
@@ -243,12 +284,15 @@ def coeFnRingHom {R : Type _} [CommRing R] [TopologicalSpace R] [ChartedSpace H'
   { (coeFnMonoidHom : C^∞⟮I, N; I', R⟯ →* _), (coeFnAddMonoidHom : C^∞⟮I, N; I', R⟯ →+ _) with
     toFun := coeFn }
 #align smooth_map.coe_fn_ring_hom SmoothMap.coeFnRingHom
+-/
 
+#print SmoothMap.evalRingHom /-
 /-- `function.eval` as a `ring_hom` on the ring of smooth functions. -/
 def evalRingHom {R : Type _} [CommRing R] [TopologicalSpace R] [ChartedSpace H' R] [SmoothRing I' R]
     (n : N) : C^∞⟮I, N; I', R⟯ →+* R :=
   (Pi.evalRingHom _ n : (N → R) →+* R).comp SmoothMap.coeFnRingHom
 #align smooth_map.eval_ring_hom SmoothMap.evalRingHom
+-/
 
 end RingStructure
 
@@ -262,28 +306,37 @@ field `𝕜` inherit a vector space structure.
 -/
 
 
+#print SmoothMap.hasSmul /-
 instance hasSmul {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     SMul 𝕜 C^∞⟮I, N; 𝓘(𝕜, V), V⟯ :=
   ⟨fun r f => ⟨r • f, smooth_const.smul f.Smooth⟩⟩
 #align smooth_map.has_smul SmoothMap.hasSmul
+-/
 
+#print SmoothMap.coe_smul /-
 @[simp]
 theorem coe_smul {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] (r : 𝕜)
     (f : C^∞⟮I, N; 𝓘(𝕜, V), V⟯) : ⇑(r • f) = r • f :=
   rfl
 #align smooth_map.coe_smul SmoothMap.coe_smul
+-/
 
+#print SmoothMap.smul_comp /-
 @[simp]
 theorem smul_comp {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] (r : 𝕜)
     (g : C^∞⟮I'', N'; 𝓘(𝕜, V), V⟯) (h : C^∞⟮I, N; I'', N'⟯) : (r • g).comp h = r • g.comp h :=
   rfl
 #align smooth_map.smul_comp SmoothMap.smul_comp
+-/
 
+#print SmoothMap.module /-
 instance module {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     Module 𝕜 C^∞⟮I, N; 𝓘(𝕜, V), V⟯ :=
   Function.Injective.module 𝕜 coeFnAddMonoidHom ContMDiffMap.coe_injective coe_smul
 #align smooth_map.module SmoothMap.module
+-/
 
+#print SmoothMap.coeFnLinearMap /-
 /-- Coercion to a function as a `linear_map`. -/
 @[simps]
 def coeFnLinearMap {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
@@ -294,6 +347,7 @@ def coeFnLinearMap {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     toFun := coeFn
     map_smul' := coe_smul }
 #align smooth_map.coe_fn_linear_map SmoothMap.coeFnLinearMap
+-/
 
 end ModuleStructure
 
@@ -309,25 +363,30 @@ inherit an algebra structure.
 
 variable {A : Type _} [NormedRing A] [NormedAlgebra 𝕜 A] [SmoothRing 𝓘(𝕜, A) A]
 
+#print SmoothMap.C /-
 /-- Smooth constant functions as a `ring_hom`. -/
-def c : 𝕜 →+* C^∞⟮I, N; 𝓘(𝕜, A), A⟯
+def C : 𝕜 →+* C^∞⟮I, N; 𝓘(𝕜, A), A⟯
     where
   toFun := fun c : 𝕜 => ⟨fun x => (algebraMap 𝕜 A) c, smooth_const⟩
   map_one' := by ext x <;> exact (algebraMap 𝕜 A).map_one
   map_mul' c₁ c₂ := by ext x <;> exact (algebraMap 𝕜 A).map_mul _ _
   map_zero' := by ext x <;> exact (algebraMap 𝕜 A).map_zero
   map_add' c₁ c₂ := by ext x <;> exact (algebraMap 𝕜 A).map_add _ _
-#align smooth_map.C SmoothMap.c
+#align smooth_map.C SmoothMap.C
+-/
 
+#print SmoothMap.algebra /-
 instance algebra : Algebra 𝕜 C^∞⟮I, N; 𝓘(𝕜, A), A⟯ :=
   {
     SmoothMap.semiring with
     smul := fun r f => ⟨r • f, smooth_const.smul f.Smooth⟩
-    toRingHom := SmoothMap.c
+    toRingHom := SmoothMap.C
     commutes' := fun c f => by ext x <;> exact Algebra.commutes' _ _
     smul_def' := fun c f => by ext x <;> exact Algebra.smul_def' _ _ }
 #align smooth_map.algebra SmoothMap.algebra
+-/
 
+#print SmoothMap.coeFnAlgHom /-
 /-- Coercion to a function as an `alg_hom`. -/
 @[simps]
 def coeFnAlgHom : C^∞⟮I, N; 𝓘(𝕜, A), A⟯ →ₐ[𝕜] N → A
@@ -340,6 +399,7 @@ def coeFnAlgHom : C^∞⟮I, N; 𝓘(𝕜, A), A⟯ →ₐ[𝕜] N → A
   map_add' := SmoothMap.coe_add
   map_mul' := SmoothMap.coe_mul
 #align smooth_map.coe_fn_alg_hom SmoothMap.coeFnAlgHom
+-/
 
 end AlgebraStructure
 
@@ -352,18 +412,23 @@ If `V` is a module over `𝕜`, then we show that the space of smooth functions
 is naturally a vector space over the ring of smooth functions from `N` to `𝕜`. -/
 
 
-instance hasSmul' {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
+#print SmoothMap.instSmul' /-
+instance instSmul' {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     SMul C^∞⟮I, N; 𝕜⟯ C^∞⟮I, N; 𝓘(𝕜, V), V⟯ :=
   ⟨fun f g => ⟨fun x => f x • g x, Smooth.smul f.2 g.2⟩⟩
-#align smooth_map.has_smul' SmoothMap.hasSmul'
+#align smooth_map.has_smul' SmoothMap.instSmul'
+-/
 
+#print SmoothMap.smul_comp' /-
 @[simp]
 theorem smul_comp' {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] (f : C^∞⟮I'', N'; 𝕜⟯)
     (g : C^∞⟮I'', N'; 𝓘(𝕜, V), V⟯) (h : C^∞⟮I, N; I'', N'⟯) :
     (f • g).comp h = f.comp h • g.comp h :=
   rfl
 #align smooth_map.smul_comp' SmoothMap.smul_comp'
+-/
 
+#print SmoothMap.module' /-
 instance module' {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     Module C^∞⟮I, N; 𝓘(𝕜), 𝕜⟯ C^∞⟮I, N; 𝓘(𝕜, V), V⟯
     where
@@ -375,6 +440,7 @@ instance module' {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
   zero_smul f := by ext x <;> exact zero_smul _ _
   smul_zero r := by ext x <;> exact smul_zero _
 #align smooth_map.module' SmoothMap.module'
+-/
 
 end ModuleOverContinuousFunctions
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/fdc286cc6967a012f41b87f76dcd2797b53152af

@@ -33,21 +33,21 @@ variable {𝕜 : Type _} [NontriviallyNormedField 𝕜] {E : Type _} [NormedAddC
 namespace SmoothMap
 
 @[to_additive]
-instance hasMul {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [HasSmoothMul I' G] :
+instance hasMul {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G] :
     Mul C^∞⟮I, N; I', G⟯ :=
   ⟨fun f g => ⟨f * g, f.Smooth.mul g.Smooth⟩⟩
 #align smooth_map.has_mul SmoothMap.hasMul
 #align smooth_map.has_add SmoothMap.hasAdd
 
 @[simp, to_additive]
-theorem coe_mul {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [HasSmoothMul I' G]
+theorem coe_mul {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G]
     (f g : C^∞⟮I, N; I', G⟯) : ⇑(f * g) = f * g :=
   rfl
 #align smooth_map.coe_mul SmoothMap.coe_mul
 #align smooth_map.coe_add SmoothMap.coe_add
 
 @[simp, to_additive]
-theorem mul_comp {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [HasSmoothMul I' G]
+theorem mul_comp {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G]
     (f g : C^∞⟮I'', N'; I', G⟯) (h : C^∞⟮I, N; I'', N'⟯) : (f * g).comp h = f.comp h * g.comp h :=
   by ext <;> simp only [ContMDiffMap.comp_apply, coe_mul, Pi.mul_apply]
 #align smooth_map.mul_comp SmoothMap.mul_comp
@@ -79,14 +79,14 @@ under pointwise multiplication.
 
 @[to_additive]
 instance semigroup {G : Type _} [Semigroup G] [TopologicalSpace G] [ChartedSpace H' G]
-    [HasSmoothMul I' G] : Semigroup C^∞⟮I, N; I', G⟯ :=
+    [SmoothMul I' G] : Semigroup C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.hasMul with mul_assoc := fun a b c => by ext <;> exact mul_assoc _ _ _ }
 #align smooth_map.semigroup SmoothMap.semigroup
 #align smooth_map.add_semigroup SmoothMap.addSemigroup
 
 @[to_additive]
-instance monoid {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
-    [HasSmoothMul I' G] : Monoid C^∞⟮I, N; I', G⟯ :=
+instance monoid {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G] :
+    Monoid C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.semigroup,
     SmoothMap.hasOne with
     one_mul := fun a => by ext <;> exact one_mul _
@@ -98,7 +98,7 @@ instance monoid {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
 @[to_additive "Coercion to a function as an `add_monoid_hom`. Similar to `add_monoid_hom.coe_fn`.",
   simps]
 def coeFnMonoidHom {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
-    [HasSmoothMul I' G] : C^∞⟮I, N; I', G⟯ →* N → G
+    [SmoothMul I' G] : C^∞⟮I, N; I', G⟯ →* N → G
     where
   toFun := coeFn
   map_one' := coe_one
@@ -113,8 +113,8 @@ variable (I N)
 @[to_additive
       "For a manifold `N` and a smooth homomorphism `φ` between additive Lie groups `G'`,\n`G''`, the 'left-composition-by-`φ`' group homomorphism from `C^∞⟮I, N; I', G'⟯` to\n`C^∞⟮I, N; I'', G''⟯`."]
 def compLeftMonoidHom {G' : Type _} [Monoid G'] [TopologicalSpace G'] [ChartedSpace H' G']
-    [HasSmoothMul I' G'] {G'' : Type _} [Monoid G''] [TopologicalSpace G''] [ChartedSpace H'' G'']
-    [HasSmoothMul I'' G''] (φ : G' →* G'') (hφ : Smooth I' I'' φ) :
+    [SmoothMul I' G'] {G'' : Type _} [Monoid G''] [TopologicalSpace G''] [ChartedSpace H'' G'']
+    [SmoothMul I'' G''] (φ : G' →* G'') (hφ : Smooth I' I'' φ) :
     C^∞⟮I, N; I', G'⟯ →* C^∞⟮I, N; I'', G''⟯
     where
   toFun f := ⟨φ ∘ f, fun x => (hφ.Smooth _).comp x (f.ContMDiff x)⟩
@@ -130,7 +130,7 @@ variable (I') {N}
 @[to_additive
       "For an additive Lie group `G` and open sets `U ⊆ V` in `N`, the 'restriction' group\nhomomorphism from `C^∞⟮I, V; I', G⟯` to `C^∞⟮I, U; I', G⟯`."]
 def restrictMonoidHom (G : Type _) [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
-    [HasSmoothMul I' G] {U V : Opens N} (h : U ≤ V) : C^∞⟮I, V; I', G⟯ →* C^∞⟮I, U; I', G⟯
+    [SmoothMul I' G] {U V : Opens N} (h : U ≤ V) : C^∞⟮I, V; I', G⟯ →* C^∞⟮I, U; I', G⟯
     where
   toFun f := ⟨f ∘ Set.inclusion h, f.Smooth.comp (smooth_inclusion h)⟩
   map_one' := rfl
@@ -142,7 +142,7 @@ variable {I N I' N'}
 
 @[to_additive]
 instance commMonoid {G : Type _} [CommMonoid G] [TopologicalSpace G] [ChartedSpace H' G]
-    [HasSmoothMul I' G] : CommMonoid C^∞⟮I, N; I', G⟯ :=
+    [SmoothMul I' G] : CommMonoid C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.monoid, SmoothMap.hasOne with mul_comm := fun a b => by ext <;> exact mul_comm _ _ }
 #align smooth_map.comm_monoid SmoothMap.commMonoid
 #align smooth_map.add_comm_monoid SmoothMap.addCommMonoid

mathlib commit https://github.com/leanprover-community/mathlib/commit/93f880918cb51905fd51b76add8273cbc27718ab

@@ -37,7 +37,7 @@ instance hasMul {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [H
     Mul C^∞⟮I, N; I', G⟯ :=
   ⟨fun f g => ⟨f * g, f.Smooth.mul g.Smooth⟩⟩
 #align smooth_map.has_mul SmoothMap.hasMul
-#align smooth_map.has_add SmoothMap.has_add
+#align smooth_map.has_add SmoothMap.hasAdd
 
 @[simp, to_additive]
 theorem coe_mul {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [HasSmoothMul I' G]
@@ -82,7 +82,7 @@ instance semigroup {G : Type _} [Semigroup G] [TopologicalSpace G] [ChartedSpace
     [HasSmoothMul I' G] : Semigroup C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.hasMul with mul_assoc := fun a b c => by ext <;> exact mul_assoc _ _ _ }
 #align smooth_map.semigroup SmoothMap.semigroup
-#align smooth_map.add_semigroup SmoothMap.add_semigroup
+#align smooth_map.add_semigroup SmoothMap.addSemigroup
 
 @[to_additive]
 instance monoid {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
@@ -92,7 +92,7 @@ instance monoid {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
     one_mul := fun a => by ext <;> exact one_mul _
     mul_one := fun a => by ext <;> exact mul_one _ }
 #align smooth_map.monoid SmoothMap.monoid
-#align smooth_map.add_monoid SmoothMap.add_monoid
+#align smooth_map.add_monoid SmoothMap.addMonoid
 
 /-- Coercion to a function as an `monoid_hom`. Similar to `monoid_hom.coe_fn`. -/
 @[to_additive "Coercion to a function as an `add_monoid_hom`. Similar to `add_monoid_hom.coe_fn`.",
@@ -104,7 +104,7 @@ def coeFnMonoidHom {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H'
   map_one' := coe_one
   map_mul' := coe_mul
 #align smooth_map.coe_fn_monoid_hom SmoothMap.coeFnMonoidHom
-#align smooth_map.coe_fn_add_monoid_hom SmoothMap.coe_fn_add_monoid_hom
+#align smooth_map.coe_fn_add_monoid_hom SmoothMap.coeFnAddMonoidHom
 
 variable (I N)
 
@@ -121,7 +121,7 @@ def compLeftMonoidHom {G' : Type _} [Monoid G'] [TopologicalSpace G'] [ChartedSp
   map_one' := by ext x <;> show φ 1 = 1 <;> simp
   map_mul' f g := by ext x <;> show φ (f x * g x) = φ (f x) * φ (g x) <;> simp
 #align smooth_map.comp_left_monoid_hom SmoothMap.compLeftMonoidHom
-#align smooth_map.comp_left_add_monoid_hom SmoothMap.comp_left_add_monoid_hom
+#align smooth_map.comp_left_add_monoid_hom SmoothMap.compLeftAddMonoidHom
 
 variable (I') {N}
 
@@ -136,7 +136,7 @@ def restrictMonoidHom (G : Type _) [Monoid G] [TopologicalSpace G] [ChartedSpace
   map_one' := rfl
   map_mul' f g := rfl
 #align smooth_map.restrict_monoid_hom SmoothMap.restrictMonoidHom
-#align smooth_map.restrict_add_monoid_hom SmoothMap.restrict_add_monoid_hom
+#align smooth_map.restrict_add_monoid_hom SmoothMap.restrictAddMonoidHom
 
 variable {I N I' N'}
 
@@ -145,7 +145,7 @@ instance commMonoid {G : Type _} [CommMonoid G] [TopologicalSpace G] [ChartedSpa
     [HasSmoothMul I' G] : CommMonoid C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.monoid, SmoothMap.hasOne with mul_comm := fun a b => by ext <;> exact mul_comm _ _ }
 #align smooth_map.comm_monoid SmoothMap.commMonoid
-#align smooth_map.add_comm_monoid SmoothMap.add_comm_monoid
+#align smooth_map.add_comm_monoid SmoothMap.addCommMonoid
 
 @[to_additive]
 instance group {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [LieGroup I' G] :
@@ -156,7 +156,7 @@ instance group {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [
     div := fun f g => ⟨f / g, f.Smooth.div g.Smooth⟩
     div_eq_mul_inv := fun f g => by ext <;> exact div_eq_mul_inv _ _ }
 #align smooth_map.group SmoothMap.group
-#align smooth_map.add_group SmoothMap.add_group
+#align smooth_map.add_group SmoothMap.addGroup
 
 @[simp, to_additive]
 theorem coe_inv {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [LieGroup I' G]
@@ -177,7 +177,7 @@ instance commGroup {G : Type _} [CommGroup G] [TopologicalSpace G] [ChartedSpace
     [LieGroup I' G] : CommGroup C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.group, SmoothMap.commMonoid with }
 #align smooth_map.comm_group SmoothMap.commGroup
-#align smooth_map.add_comm_group SmoothMap.add_comm_group
+#align smooth_map.add_comm_group SmoothMap.addCommGroup
 
 end GroupStructure
 
@@ -193,7 +193,7 @@ under pointwise multiplication.
 
 instance semiring {R : Type _} [Semiring R] [TopologicalSpace R] [ChartedSpace H' R]
     [SmoothRing I' R] : Semiring C^∞⟮I, N; I', R⟯ :=
-  { SmoothMap.add_comm_monoid,
+  { SmoothMap.addCommMonoid,
     SmoothMap.monoid with
     left_distrib := fun a b c => by ext <;> exact left_distrib _ _ _
     right_distrib := fun a b c => by ext <;> exact right_distrib _ _ _
@@ -203,12 +203,12 @@ instance semiring {R : Type _} [Semiring R] [TopologicalSpace R] [ChartedSpace H
 
 instance ring {R : Type _} [Ring R] [TopologicalSpace R] [ChartedSpace H' R] [SmoothRing I' R] :
     Ring C^∞⟮I, N; I', R⟯ :=
-  { SmoothMap.semiring, SmoothMap.add_comm_group with }
+  { SmoothMap.semiring, SmoothMap.addCommGroup with }
 #align smooth_map.ring SmoothMap.ring
 
 instance commRing {R : Type _} [CommRing R] [TopologicalSpace R] [ChartedSpace H' R]
     [SmoothRing I' R] : CommRing C^∞⟮I, N; I', R⟯ :=
-  { SmoothMap.semiring, SmoothMap.add_comm_group, SmoothMap.commMonoid with }
+  { SmoothMap.semiring, SmoothMap.addCommGroup, SmoothMap.commMonoid with }
 #align smooth_map.comm_ring SmoothMap.commRing
 
 variable (I N)
@@ -220,7 +220,7 @@ def compLeftRingHom {R' : Type _} [Ring R'] [TopologicalSpace R'] [ChartedSpace
     [SmoothRing I'' R''] (φ : R' →+* R'') (hφ : Smooth I' I'' φ) :
     C^∞⟮I, N; I', R'⟯ →+* C^∞⟮I, N; I'', R''⟯ :=
   { SmoothMap.compLeftMonoidHom I N φ.toMonoidHom hφ,
-    SmoothMap.comp_left_add_monoid_hom I N φ.toAddMonoidHom hφ with
+    SmoothMap.compLeftAddMonoidHom I N φ.toAddMonoidHom hφ with
     toFun := fun f => ⟨φ ∘ f, fun x => (hφ.Smooth _).comp x (f.ContMDiff x)⟩ }
 #align smooth_map.comp_left_ring_hom SmoothMap.compLeftRingHom
 
@@ -230,7 +230,7 @@ variable (I') {N}
 `C^∞⟮I, V; I', R⟯` to `C^∞⟮I, U; I', R⟯`. -/
 def restrictRingHom (R : Type _) [Ring R] [TopologicalSpace R] [ChartedSpace H' R] [SmoothRing I' R]
     {U V : Opens N} (h : U ≤ V) : C^∞⟮I, V; I', R⟯ →+* C^∞⟮I, U; I', R⟯ :=
-  { SmoothMap.restrictMonoidHom I I' R h, SmoothMap.restrict_add_monoid_hom I I' R h with
+  { SmoothMap.restrictMonoidHom I I' R h, SmoothMap.restrictAddMonoidHom I I' R h with
     toFun := fun f => ⟨f ∘ Set.inclusion h, f.Smooth.comp (smooth_inclusion h)⟩ }
 #align smooth_map.restrict_ring_hom SmoothMap.restrictRingHom
 
@@ -240,7 +240,7 @@ variable {I N I' N'}
 @[simps]
 def coeFnRingHom {R : Type _} [CommRing R] [TopologicalSpace R] [ChartedSpace H' R]
     [SmoothRing I' R] : C^∞⟮I, N; I', R⟯ →+* N → R :=
-  { (coeFnMonoidHom : C^∞⟮I, N; I', R⟯ →* _), (coe_fn_add_monoid_hom : C^∞⟮I, N; I', R⟯ →+ _) with
+  { (coeFnMonoidHom : C^∞⟮I, N; I', R⟯ →* _), (coeFnAddMonoidHom : C^∞⟮I, N; I', R⟯ →+ _) with
     toFun := coeFn }
 #align smooth_map.coe_fn_ring_hom SmoothMap.coeFnRingHom
 
@@ -281,7 +281,7 @@ theorem smul_comp {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] (r :
 
 instance module {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     Module 𝕜 C^∞⟮I, N; 𝓘(𝕜, V), V⟯ :=
-  Function.Injective.module 𝕜 coe_fn_add_monoid_hom ContMDiffMap.coe_injective coe_smul
+  Function.Injective.module 𝕜 coeFnAddMonoidHom ContMDiffMap.coe_injective coe_smul
 #align smooth_map.module SmoothMap.module
 
 /-- Coercion to a function as a `linear_map`. -/
@@ -289,8 +289,8 @@ instance module {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
 def coeFnLinearMap {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     C^∞⟮I, N; 𝓘(𝕜, V), V⟯ →ₗ[𝕜] N → V :=
   {
-    (coe_fn_add_monoid_hom :
-      C^∞⟮I, N; 𝓘(𝕜, V), V⟯ →+ _) with
+    (coeFnAddMonoidHom : C^∞⟮I, N; 𝓘(𝕜, V), V⟯ →+
+        _) with
     toFun := coeFn
     map_smul' := coe_smul }
 #align smooth_map.coe_fn_linear_map SmoothMap.coeFnLinearMap

mathlib commit https://github.com/leanprover-community/mathlib/commit/93f880918cb51905fd51b76add8273cbc27718ab

@@ -49,14 +49,14 @@ theorem coe_mul {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [H
 @[simp, to_additive]
 theorem mul_comp {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [HasSmoothMul I' G]
     (f g : C^∞⟮I'', N'; I', G⟯) (h : C^∞⟮I, N; I'', N'⟯) : (f * g).comp h = f.comp h * g.comp h :=
-  by ext <;> simp only [ContMdiffMap.comp_apply, coe_mul, Pi.mul_apply]
+  by ext <;> simp only [ContMDiffMap.comp_apply, coe_mul, Pi.mul_apply]
 #align smooth_map.mul_comp SmoothMap.mul_comp
 #align smooth_map.add_comp SmoothMap.add_comp
 
 @[to_additive]
 instance hasOne {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G] :
     One C^∞⟮I, N; I', G⟯ :=
-  ⟨ContMdiffMap.const (1 : G)⟩
+  ⟨ContMDiffMap.const (1 : G)⟩
 #align smooth_map.has_one SmoothMap.hasOne
 #align smooth_map.has_zero SmoothMap.hasZero
 
@@ -281,7 +281,7 @@ theorem smul_comp {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] (r :
 
 instance module {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     Module 𝕜 C^∞⟮I, N; 𝓘(𝕜, V), V⟯ :=
-  Function.Injective.module 𝕜 coe_fn_add_monoid_hom ContMdiffMap.coe_inj coe_smul
+  Function.Injective.module 𝕜 coe_fn_add_monoid_hom ContMDiffMap.coe_injective coe_smul
 #align smooth_map.module SmoothMap.module
 
 /-- Coercion to a function as a `linear_map`. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/93f880918cb51905fd51b76add8273cbc27718ab

@@ -117,7 +117,7 @@ def compLeftMonoidHom {G' : Type _} [Monoid G'] [TopologicalSpace G'] [ChartedSp
     [HasSmoothMul I'' G''] (φ : G' →* G'') (hφ : Smooth I' I'' φ) :
     C^∞⟮I, N; I', G'⟯ →* C^∞⟮I, N; I'', G''⟯
     where
-  toFun f := ⟨φ ∘ f, fun x => (hφ.Smooth _).comp x (f.ContMdiff x)⟩
+  toFun f := ⟨φ ∘ f, fun x => (hφ.Smooth _).comp x (f.ContMDiff x)⟩
   map_one' := by ext x <;> show φ 1 = 1 <;> simp
   map_mul' f g := by ext x <;> show φ (f x * g x) = φ (f x) * φ (g x) <;> simp
 #align smooth_map.comp_left_monoid_hom SmoothMap.compLeftMonoidHom
@@ -221,7 +221,7 @@ def compLeftRingHom {R' : Type _} [Ring R'] [TopologicalSpace R'] [ChartedSpace
     C^∞⟮I, N; I', R'⟯ →+* C^∞⟮I, N; I'', R''⟯ :=
   { SmoothMap.compLeftMonoidHom I N φ.toMonoidHom hφ,
     SmoothMap.comp_left_add_monoid_hom I N φ.toAddMonoidHom hφ with
-    toFun := fun f => ⟨φ ∘ f, fun x => (hφ.Smooth _).comp x (f.ContMdiff x)⟩ }
+    toFun := fun f => ⟨φ ∘ f, fun x => (hφ.Smooth _).comp x (f.ContMDiff x)⟩ }
 #align smooth_map.comp_left_ring_hom SmoothMap.compLeftRingHom
 
 variable (I') {N}

mathlib commit https://github.com/leanprover-community/mathlib/commit/6285167a053ad0990fc88e56c48ccd9fae6550eb

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri
 
 ! This file was ported from Lean 3 source module geometry.manifold.algebra.smooth_functions
-! leanprover-community/mathlib commit d1bd9c5df2867c1cb463bc6364446d57bdd9f7f1
+! leanprover-community/mathlib commit e5ab837fc252451f3eb9124ae6e7b6f57455e7b9
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -21,6 +21,8 @@ noncomputable section
 
 open scoped Manifold
 
+open TopologicalSpace
+
 variable {𝕜 : Type _} [NontriviallyNormedField 𝕜] {E : Type _} [NormedAddCommGroup E]
   [NormedSpace 𝕜 E] {E' : Type _} [NormedAddCommGroup E'] [NormedSpace 𝕜 E'] {H : Type _}
   [TopologicalSpace H] {I : ModelWithCorners 𝕜 E H} {H' : Type _} [TopologicalSpace H']
@@ -104,6 +106,40 @@ def coeFnMonoidHom {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H'
 #align smooth_map.coe_fn_monoid_hom SmoothMap.coeFnMonoidHom
 #align smooth_map.coe_fn_add_monoid_hom SmoothMap.coe_fn_add_monoid_hom
 
+variable (I N)
+
+/-- For a manifold `N` and a smooth homomorphism `φ` between Lie groups `G'`, `G''`, the
+'left-composition-by-`φ`' group homomorphism from `C^∞⟮I, N; I', G'⟯` to `C^∞⟮I, N; I'', G''⟯`. -/
+@[to_additive
+      "For a manifold `N` and a smooth homomorphism `φ` between additive Lie groups `G'`,\n`G''`, the 'left-composition-by-`φ`' group homomorphism from `C^∞⟮I, N; I', G'⟯` to\n`C^∞⟮I, N; I'', G''⟯`."]
+def compLeftMonoidHom {G' : Type _} [Monoid G'] [TopologicalSpace G'] [ChartedSpace H' G']
+    [HasSmoothMul I' G'] {G'' : Type _} [Monoid G''] [TopologicalSpace G''] [ChartedSpace H'' G'']
+    [HasSmoothMul I'' G''] (φ : G' →* G'') (hφ : Smooth I' I'' φ) :
+    C^∞⟮I, N; I', G'⟯ →* C^∞⟮I, N; I'', G''⟯
+    where
+  toFun f := ⟨φ ∘ f, fun x => (hφ.Smooth _).comp x (f.ContMdiff x)⟩
+  map_one' := by ext x <;> show φ 1 = 1 <;> simp
+  map_mul' f g := by ext x <;> show φ (f x * g x) = φ (f x) * φ (g x) <;> simp
+#align smooth_map.comp_left_monoid_hom SmoothMap.compLeftMonoidHom
+#align smooth_map.comp_left_add_monoid_hom SmoothMap.comp_left_add_monoid_hom
+
+variable (I') {N}
+
+/-- For a Lie group `G` and open sets `U ⊆ V` in `N`, the 'restriction' group homomorphism from
+`C^∞⟮I, V; I', G⟯` to `C^∞⟮I, U; I', G⟯`. -/
+@[to_additive
+      "For an additive Lie group `G` and open sets `U ⊆ V` in `N`, the 'restriction' group\nhomomorphism from `C^∞⟮I, V; I', G⟯` to `C^∞⟮I, U; I', G⟯`."]
+def restrictMonoidHom (G : Type _) [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
+    [HasSmoothMul I' G] {U V : Opens N} (h : U ≤ V) : C^∞⟮I, V; I', G⟯ →* C^∞⟮I, U; I', G⟯
+    where
+  toFun f := ⟨f ∘ Set.inclusion h, f.Smooth.comp (smooth_inclusion h)⟩
+  map_one' := rfl
+  map_mul' f g := rfl
+#align smooth_map.restrict_monoid_hom SmoothMap.restrictMonoidHom
+#align smooth_map.restrict_add_monoid_hom SmoothMap.restrict_add_monoid_hom
+
+variable {I N I' N'}
+
 @[to_additive]
 instance commMonoid {G : Type _} [CommMonoid G] [TopologicalSpace G] [ChartedSpace H' G]
     [HasSmoothMul I' G] : CommMonoid C^∞⟮I, N; I', G⟯ :=
@@ -175,6 +211,31 @@ instance commRing {R : Type _} [CommRing R] [TopologicalSpace R] [ChartedSpace H
   { SmoothMap.semiring, SmoothMap.add_comm_group, SmoothMap.commMonoid with }
 #align smooth_map.comm_ring SmoothMap.commRing
 
+variable (I N)
+
+/-- For a manifold `N` and a smooth homomorphism `φ` between smooth rings `R'`, `R''`, the
+'left-composition-by-`φ`' ring homomorphism from `C^∞⟮I, N; I', R'⟯` to `C^∞⟮I, N; I'', R''⟯`. -/
+def compLeftRingHom {R' : Type _} [Ring R'] [TopologicalSpace R'] [ChartedSpace H' R']
+    [SmoothRing I' R'] {R'' : Type _} [Ring R''] [TopologicalSpace R''] [ChartedSpace H'' R'']
+    [SmoothRing I'' R''] (φ : R' →+* R'') (hφ : Smooth I' I'' φ) :
+    C^∞⟮I, N; I', R'⟯ →+* C^∞⟮I, N; I'', R''⟯ :=
+  { SmoothMap.compLeftMonoidHom I N φ.toMonoidHom hφ,
+    SmoothMap.comp_left_add_monoid_hom I N φ.toAddMonoidHom hφ with
+    toFun := fun f => ⟨φ ∘ f, fun x => (hφ.Smooth _).comp x (f.ContMdiff x)⟩ }
+#align smooth_map.comp_left_ring_hom SmoothMap.compLeftRingHom
+
+variable (I') {N}
+
+/-- For a "smooth ring" `R` and open sets `U ⊆ V` in `N`, the "restriction" ring homomorphism from
+`C^∞⟮I, V; I', R⟯` to `C^∞⟮I, U; I', R⟯`. -/
+def restrictRingHom (R : Type _) [Ring R] [TopologicalSpace R] [ChartedSpace H' R] [SmoothRing I' R]
+    {U V : Opens N} (h : U ≤ V) : C^∞⟮I, V; I', R⟯ →+* C^∞⟮I, U; I', R⟯ :=
+  { SmoothMap.restrictMonoidHom I I' R h, SmoothMap.restrict_add_monoid_hom I I' R h with
+    toFun := fun f => ⟨f ∘ Set.inclusion h, f.Smooth.comp (smooth_inclusion h)⟩ }
+#align smooth_map.restrict_ring_hom SmoothMap.restrictRingHom
+
+variable {I N I' N'}
+
 /-- Coercion to a function as a `ring_hom`. -/
 @[simps]
 def coeFnRingHom {R : Type _} [CommRing R] [TopologicalSpace R] [ChartedSpace H' R]

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -19,7 +19,7 @@ In this file, we define instances of algebraic structures over smooth functions.
 
 noncomputable section
 
-open Manifold
+open scoped Manifold
 
 variable {𝕜 : Type _} [NontriviallyNormedField 𝕜] {E : Type _} [NormedAddCommGroup E]
   [NormedSpace 𝕜 E] {E' : Type _} [NormedAddCommGroup E'] [NormedSpace 𝕜 E'] {H : Type _}

mathlib commit https://github.com/leanprover-community/mathlib/commit/c9236f47f5b9df573443aa499c0d3968769628b7

@@ -35,7 +35,7 @@ instance hasMul {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [H
     Mul C^∞⟮I, N; I', G⟯ :=
   ⟨fun f g => ⟨f * g, f.Smooth.mul g.Smooth⟩⟩
 #align smooth_map.has_mul SmoothMap.hasMul
-#align smooth_map.has_add SmoothMap.hasAdd
+#align smooth_map.has_add SmoothMap.has_add
 
 @[simp, to_additive]
 theorem coe_mul {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [HasSmoothMul I' G]
@@ -80,7 +80,7 @@ instance semigroup {G : Type _} [Semigroup G] [TopologicalSpace G] [ChartedSpace
     [HasSmoothMul I' G] : Semigroup C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.hasMul with mul_assoc := fun a b c => by ext <;> exact mul_assoc _ _ _ }
 #align smooth_map.semigroup SmoothMap.semigroup
-#align smooth_map.add_semigroup SmoothMap.addSemigroup
+#align smooth_map.add_semigroup SmoothMap.add_semigroup
 
 @[to_additive]
 instance monoid {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
@@ -90,7 +90,7 @@ instance monoid {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
     one_mul := fun a => by ext <;> exact one_mul _
     mul_one := fun a => by ext <;> exact mul_one _ }
 #align smooth_map.monoid SmoothMap.monoid
-#align smooth_map.add_monoid SmoothMap.addMonoid
+#align smooth_map.add_monoid SmoothMap.add_monoid
 
 /-- Coercion to a function as an `monoid_hom`. Similar to `monoid_hom.coe_fn`. -/
 @[to_additive "Coercion to a function as an `add_monoid_hom`. Similar to `add_monoid_hom.coe_fn`.",
@@ -102,14 +102,14 @@ def coeFnMonoidHom {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H'
   map_one' := coe_one
   map_mul' := coe_mul
 #align smooth_map.coe_fn_monoid_hom SmoothMap.coeFnMonoidHom
-#align smooth_map.coe_fn_add_monoid_hom SmoothMap.coeFnAddMonoidHom
+#align smooth_map.coe_fn_add_monoid_hom SmoothMap.coe_fn_add_monoid_hom
 
 @[to_additive]
 instance commMonoid {G : Type _} [CommMonoid G] [TopologicalSpace G] [ChartedSpace H' G]
     [HasSmoothMul I' G] : CommMonoid C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.monoid, SmoothMap.hasOne with mul_comm := fun a b => by ext <;> exact mul_comm _ _ }
 #align smooth_map.comm_monoid SmoothMap.commMonoid
-#align smooth_map.add_comm_monoid SmoothMap.addCommMonoid
+#align smooth_map.add_comm_monoid SmoothMap.add_comm_monoid
 
 @[to_additive]
 instance group {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [LieGroup I' G] :
@@ -120,7 +120,7 @@ instance group {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [
     div := fun f g => ⟨f / g, f.Smooth.div g.Smooth⟩
     div_eq_mul_inv := fun f g => by ext <;> exact div_eq_mul_inv _ _ }
 #align smooth_map.group SmoothMap.group
-#align smooth_map.add_group SmoothMap.addGroup
+#align smooth_map.add_group SmoothMap.add_group
 
 @[simp, to_additive]
 theorem coe_inv {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [LieGroup I' G]
@@ -141,7 +141,7 @@ instance commGroup {G : Type _} [CommGroup G] [TopologicalSpace G] [ChartedSpace
     [LieGroup I' G] : CommGroup C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.group, SmoothMap.commMonoid with }
 #align smooth_map.comm_group SmoothMap.commGroup
-#align smooth_map.add_comm_group SmoothMap.addCommGroup
+#align smooth_map.add_comm_group SmoothMap.add_comm_group
 
 end GroupStructure
 
@@ -157,7 +157,7 @@ under pointwise multiplication.
 
 instance semiring {R : Type _} [Semiring R] [TopologicalSpace R] [ChartedSpace H' R]
     [SmoothRing I' R] : Semiring C^∞⟮I, N; I', R⟯ :=
-  { SmoothMap.addCommMonoid,
+  { SmoothMap.add_comm_monoid,
     SmoothMap.monoid with
     left_distrib := fun a b c => by ext <;> exact left_distrib _ _ _
     right_distrib := fun a b c => by ext <;> exact right_distrib _ _ _
@@ -167,19 +167,19 @@ instance semiring {R : Type _} [Semiring R] [TopologicalSpace R] [ChartedSpace H
 
 instance ring {R : Type _} [Ring R] [TopologicalSpace R] [ChartedSpace H' R] [SmoothRing I' R] :
     Ring C^∞⟮I, N; I', R⟯ :=
-  { SmoothMap.semiring, SmoothMap.addCommGroup with }
+  { SmoothMap.semiring, SmoothMap.add_comm_group with }
 #align smooth_map.ring SmoothMap.ring
 
 instance commRing {R : Type _} [CommRing R] [TopologicalSpace R] [ChartedSpace H' R]
     [SmoothRing I' R] : CommRing C^∞⟮I, N; I', R⟯ :=
-  { SmoothMap.semiring, SmoothMap.addCommGroup, SmoothMap.commMonoid with }
+  { SmoothMap.semiring, SmoothMap.add_comm_group, SmoothMap.commMonoid with }
 #align smooth_map.comm_ring SmoothMap.commRing
 
 /-- Coercion to a function as a `ring_hom`. -/
 @[simps]
 def coeFnRingHom {R : Type _} [CommRing R] [TopologicalSpace R] [ChartedSpace H' R]
     [SmoothRing I' R] : C^∞⟮I, N; I', R⟯ →+* N → R :=
-  { (coeFnMonoidHom : C^∞⟮I, N; I', R⟯ →* _), (coeFnAddMonoidHom : C^∞⟮I, N; I', R⟯ →+ _) with
+  { (coeFnMonoidHom : C^∞⟮I, N; I', R⟯ →* _), (coe_fn_add_monoid_hom : C^∞⟮I, N; I', R⟯ →+ _) with
     toFun := coeFn }
 #align smooth_map.coe_fn_ring_hom SmoothMap.coeFnRingHom
 
@@ -220,7 +220,7 @@ theorem smul_comp {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] (r :
 
 instance module {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     Module 𝕜 C^∞⟮I, N; 𝓘(𝕜, V), V⟯ :=
-  Function.Injective.module 𝕜 coeFnAddMonoidHom ContMdiffMap.coe_inj coe_smul
+  Function.Injective.module 𝕜 coe_fn_add_monoid_hom ContMdiffMap.coe_inj coe_smul
 #align smooth_map.module SmoothMap.module
 
 /-- Coercion to a function as a `linear_map`. -/
@@ -228,8 +228,8 @@ instance module {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
 def coeFnLinearMap {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     C^∞⟮I, N; 𝓘(𝕜, V), V⟯ →ₗ[𝕜] N → V :=
   {
-    (coeFnAddMonoidHom : C^∞⟮I, N; 𝓘(𝕜, V), V⟯ →+
-        _) with
+    (coe_fn_add_monoid_hom :
+      C^∞⟮I, N; 𝓘(𝕜, V), V⟯ →+ _) with
     toFun := coeFn
     map_smul' := coe_smul }
 #align smooth_map.coe_fn_linear_map SmoothMap.coeFnLinearMap

mathlib commit https://github.com/leanprover-community/mathlib/commit/3180fab693e2cee3bff62675571264cb8778b212

@@ -161,8 +161,8 @@ instance semiring {R : Type _} [Semiring R] [TopologicalSpace R] [ChartedSpace H
     SmoothMap.monoid with
     left_distrib := fun a b c => by ext <;> exact left_distrib _ _ _
     right_distrib := fun a b c => by ext <;> exact right_distrib _ _ _
-    zero_mul := fun a => by ext <;> exact zero_mul _
-    mul_zero := fun a => by ext <;> exact mul_zero _ }
+    zero_mul := fun a => by ext <;> exact MulZeroClass.zero_mul _
+    mul_zero := fun a => by ext <;> exact MulZeroClass.mul_zero _ }
 #align smooth_map.semiring SmoothMap.semiring
 
 instance ring {R : Type _} [Ring R] [TopologicalSpace R] [ChartedSpace H' R] [SmoothRing I' R] :

mathlib commit https://github.com/leanprover-community/mathlib/commit/21e3562c5e12d846c7def5eff8cdbc520d7d4936

@@ -35,7 +35,7 @@ instance hasMul {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [H
     Mul C^∞⟮I, N; I', G⟯ :=
   ⟨fun f g => ⟨f * g, f.Smooth.mul g.Smooth⟩⟩
 #align smooth_map.has_mul SmoothMap.hasMul
-#align smooth_map.has_add SmoothMap.has_add
+#align smooth_map.has_add SmoothMap.hasAdd
 
 @[simp, to_additive]
 theorem coe_mul {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [HasSmoothMul I' G]
@@ -80,7 +80,7 @@ instance semigroup {G : Type _} [Semigroup G] [TopologicalSpace G] [ChartedSpace
     [HasSmoothMul I' G] : Semigroup C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.hasMul with mul_assoc := fun a b c => by ext <;> exact mul_assoc _ _ _ }
 #align smooth_map.semigroup SmoothMap.semigroup
-#align smooth_map.add_semigroup SmoothMap.add_semigroup
+#align smooth_map.add_semigroup SmoothMap.addSemigroup
 
 @[to_additive]
 instance monoid {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
@@ -90,7 +90,7 @@ instance monoid {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
     one_mul := fun a => by ext <;> exact one_mul _
     mul_one := fun a => by ext <;> exact mul_one _ }
 #align smooth_map.monoid SmoothMap.monoid
-#align smooth_map.add_monoid SmoothMap.add_monoid
+#align smooth_map.add_monoid SmoothMap.addMonoid
 
 /-- Coercion to a function as an `monoid_hom`. Similar to `monoid_hom.coe_fn`. -/
 @[to_additive "Coercion to a function as an `add_monoid_hom`. Similar to `add_monoid_hom.coe_fn`.",
@@ -102,14 +102,14 @@ def coeFnMonoidHom {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H'
   map_one' := coe_one
   map_mul' := coe_mul
 #align smooth_map.coe_fn_monoid_hom SmoothMap.coeFnMonoidHom
-#align smooth_map.coe_fn_add_monoid_hom SmoothMap.coe_fn_add_monoid_hom
+#align smooth_map.coe_fn_add_monoid_hom SmoothMap.coeFnAddMonoidHom
 
 @[to_additive]
 instance commMonoid {G : Type _} [CommMonoid G] [TopologicalSpace G] [ChartedSpace H' G]
     [HasSmoothMul I' G] : CommMonoid C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.monoid, SmoothMap.hasOne with mul_comm := fun a b => by ext <;> exact mul_comm _ _ }
 #align smooth_map.comm_monoid SmoothMap.commMonoid
-#align smooth_map.add_comm_monoid SmoothMap.add_comm_monoid
+#align smooth_map.add_comm_monoid SmoothMap.addCommMonoid
 
 @[to_additive]
 instance group {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [LieGroup I' G] :
@@ -120,7 +120,7 @@ instance group {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [
     div := fun f g => ⟨f / g, f.Smooth.div g.Smooth⟩
     div_eq_mul_inv := fun f g => by ext <;> exact div_eq_mul_inv _ _ }
 #align smooth_map.group SmoothMap.group
-#align smooth_map.add_group SmoothMap.add_group
+#align smooth_map.add_group SmoothMap.addGroup
 
 @[simp, to_additive]
 theorem coe_inv {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [LieGroup I' G]
@@ -141,7 +141,7 @@ instance commGroup {G : Type _} [CommGroup G] [TopologicalSpace G] [ChartedSpace
     [LieGroup I' G] : CommGroup C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.group, SmoothMap.commMonoid with }
 #align smooth_map.comm_group SmoothMap.commGroup
-#align smooth_map.add_comm_group SmoothMap.add_comm_group
+#align smooth_map.add_comm_group SmoothMap.addCommGroup
 
 end GroupStructure
 
@@ -157,7 +157,7 @@ under pointwise multiplication.
 
 instance semiring {R : Type _} [Semiring R] [TopologicalSpace R] [ChartedSpace H' R]
     [SmoothRing I' R] : Semiring C^∞⟮I, N; I', R⟯ :=
-  { SmoothMap.add_comm_monoid,
+  { SmoothMap.addCommMonoid,
     SmoothMap.monoid with
     left_distrib := fun a b c => by ext <;> exact left_distrib _ _ _
     right_distrib := fun a b c => by ext <;> exact right_distrib _ _ _
@@ -167,19 +167,19 @@ instance semiring {R : Type _} [Semiring R] [TopologicalSpace R] [ChartedSpace H
 
 instance ring {R : Type _} [Ring R] [TopologicalSpace R] [ChartedSpace H' R] [SmoothRing I' R] :
     Ring C^∞⟮I, N; I', R⟯ :=
-  { SmoothMap.semiring, SmoothMap.add_comm_group with }
+  { SmoothMap.semiring, SmoothMap.addCommGroup with }
 #align smooth_map.ring SmoothMap.ring
 
 instance commRing {R : Type _} [CommRing R] [TopologicalSpace R] [ChartedSpace H' R]
     [SmoothRing I' R] : CommRing C^∞⟮I, N; I', R⟯ :=
-  { SmoothMap.semiring, SmoothMap.add_comm_group, SmoothMap.commMonoid with }
+  { SmoothMap.semiring, SmoothMap.addCommGroup, SmoothMap.commMonoid with }
 #align smooth_map.comm_ring SmoothMap.commRing
 
 /-- Coercion to a function as a `ring_hom`. -/
 @[simps]
 def coeFnRingHom {R : Type _} [CommRing R] [TopologicalSpace R] [ChartedSpace H' R]
     [SmoothRing I' R] : C^∞⟮I, N; I', R⟯ →+* N → R :=
-  { (coeFnMonoidHom : C^∞⟮I, N; I', R⟯ →* _), (coe_fn_add_monoid_hom : C^∞⟮I, N; I', R⟯ →+ _) with
+  { (coeFnMonoidHom : C^∞⟮I, N; I', R⟯ →* _), (coeFnAddMonoidHom : C^∞⟮I, N; I', R⟯ →+ _) with
     toFun := coeFn }
 #align smooth_map.coe_fn_ring_hom SmoothMap.coeFnRingHom
 
@@ -220,7 +220,7 @@ theorem smul_comp {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] (r :
 
 instance module {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     Module 𝕜 C^∞⟮I, N; 𝓘(𝕜, V), V⟯ :=
-  Function.Injective.module 𝕜 coe_fn_add_monoid_hom ContMdiffMap.coe_inj coe_smul
+  Function.Injective.module 𝕜 coeFnAddMonoidHom ContMdiffMap.coe_inj coe_smul
 #align smooth_map.module SmoothMap.module
 
 /-- Coercion to a function as a `linear_map`. -/
@@ -228,8 +228,8 @@ instance module {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
 def coeFnLinearMap {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     C^∞⟮I, N; 𝓘(𝕜, V), V⟯ →ₗ[𝕜] N → V :=
   {
-    (coe_fn_add_monoid_hom :
-      C^∞⟮I, N; 𝓘(𝕜, V), V⟯ →+ _) with
+    (coeFnAddMonoidHom : C^∞⟮I, N; 𝓘(𝕜, V), V⟯ →+
+        _) with
     toFun := coeFn
     map_smul' := coe_smul }
 #align smooth_map.coe_fn_linear_map SmoothMap.coeFnLinearMap

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

Classifies by adding issue number #11215 to porting notes claiming "TODO".

@@ -132,7 +132,7 @@ def compLeftMonoidHom {G' : Type*} [Monoid G'] [TopologicalSpace G'] [ChartedSpa
 
 variable (I') {N}
 
--- Porting note: TODO: generalize to any smooth map instead of `Set.inclusion`
+-- Porting note (#11215): TODO: generalize to any smooth map instead of `Set.inclusion`
 /-- For a Lie group `G` and open sets `U ⊆ V` in `N`, the 'restriction' group homomorphism from
 `C^∞⟮I, V; I', G⟯` to `C^∞⟮I, U; I', G⟯`. -/
 @[to_additive "For an additive Lie group `G` and open sets `U ⊆ V` in `N`, the 'restriction' group

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

• converts "--porting note" into "-- Porting note";
• converts "porting note" into "Porting note".

@@ -132,7 +132,7 @@ def compLeftMonoidHom {G' : Type*} [Monoid G'] [TopologicalSpace G'] [ChartedSpa
 
 variable (I') {N}
 
--- porting note: TODO: generalize to any smooth map instead of `Set.inclusion`
+-- Porting note: TODO: generalize to any smooth map instead of `Set.inclusion`
 /-- For a Lie group `G` and open sets `U ⊆ V` in `N`, the 'restriction' group homomorphism from
 `C^∞⟮I, V; I', G⟯` to `C^∞⟮I, U; I', G⟯`. -/
 @[to_additive "For an additive Lie group `G` and open sets `U ⊆ V` in `N`, the 'restriction' group

This prepares for the introduction of a non-dependent synonym of FunLike, which helps a lot with keeping #8386 readable.

This is entirely search-and-replace in 680197f combined with manual fixes in 4145626, e900597 and b8428f8. The commands that generated this change:

sed -i 's/\bFunLike\b/DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoFunLike\b/toDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/import Mathlib.Data.DFunLike/import Mathlib.Data.FunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bHom_FunLike\b/Hom_DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean     
sed -i 's/\binstFunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bfunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoo many metavariables to apply `fun_like.has_coe_to_fun`/too many metavariables to apply `DFunLike.hasCoeToFun`/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean

Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

@@ -91,14 +91,14 @@ under pointwise multiplication.
 @[to_additive]
 instance semigroup {G : Type*} [Semigroup G] [TopologicalSpace G] [ChartedSpace H' G]
     [SmoothMul I' G] : Semigroup C^∞⟮I, N; I', G⟯ :=
-  FunLike.coe_injective.semigroup _ coe_mul
+  DFunLike.coe_injective.semigroup _ coe_mul
 #align smooth_map.semigroup SmoothMap.semigroup
 #align smooth_map.add_semigroup SmoothMap.addSemigroup
 
 @[to_additive]
 instance monoid {G : Type*} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
     [SmoothMul I' G] : Monoid C^∞⟮I, N; I', G⟯ :=
-  FunLike.coe_injective.monoid _ coe_one coe_mul coe_pow
+  DFunLike.coe_injective.monoid _ coe_one coe_mul coe_pow
 #align smooth_map.monoid SmoothMap.monoid
 #align smooth_map.add_monoid SmoothMap.addMonoid
 
@@ -107,7 +107,7 @@ instance monoid {G : Type*} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
   Similar to `AddMonoidHom.coeFn`."]
 def coeFnMonoidHom {G : Type*} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
     [SmoothMul I' G] : C^∞⟮I, N; I', G⟯ →* N → G where
-  toFun := FunLike.coe
+  toFun := DFunLike.coe
   map_one' := coe_one
   map_mul' := coe_mul
 #align smooth_map.coe_fn_monoid_hom SmoothMap.coeFnMonoidHom
@@ -150,7 +150,7 @@ variable {I I'}
 @[to_additive]
 instance commMonoid {G : Type*} [CommMonoid G] [TopologicalSpace G] [ChartedSpace H' G]
     [SmoothMul I' G] : CommMonoid C^∞⟮I, N; I', G⟯ :=
-  FunLike.coe_injective.commMonoid _ coe_one coe_mul coe_pow
+  DFunLike.coe_injective.commMonoid _ coe_one coe_mul coe_pow
 #align smooth_map.comm_monoid SmoothMap.commMonoid
 #align smooth_map.add_comm_monoid SmoothMap.addCommMonoid
 

This is not exhaustive

@@ -141,7 +141,7 @@ def restrictMonoidHom (G : Type*) [Monoid G] [TopologicalSpace G] [ChartedSpace
     [SmoothMul I' G] {U V : Opens N} (h : U ≤ V) : C^∞⟮I, V; I', G⟯ →* C^∞⟮I, U; I', G⟯ where
   toFun f := ⟨f ∘ Set.inclusion h, f.smooth.comp (smooth_inclusion h)⟩
   map_one' := rfl
-  map_mul' _ _:= rfl
+  map_mul' _ _ := rfl
 #align smooth_map.restrict_monoid_hom SmoothMap.restrictMonoidHom
 #align smooth_map.restrict_add_monoid_hom SmoothMap.restrictAddMonoidHom
 

@@ -262,17 +262,17 @@ end RingStructure
 section ModuleStructure
 
 /-!
-### Semiodule stucture
+### Semimodule stucture
 
 In this section we show that smooth functions valued in a vector space `M` over a normed
 field `𝕜` inherit a vector space structure.
 -/
 
 
-instance hasSmul {V : Type*} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
+instance instSMul {V : Type*} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     SMul 𝕜 C^∞⟮I, N; 𝓘(𝕜, V), V⟯ :=
   ⟨fun r f => ⟨r • ⇑f, smooth_const.smul f.smooth⟩⟩
-#align smooth_map.has_smul SmoothMap.hasSmul
+#align smooth_map.has_smul SmoothMap.instSMul
 
 @[simp]
 theorem coe_smul {V : Type*} [NormedAddCommGroup V] [NormedSpace 𝕜 V] (r : 𝕜)
@@ -355,10 +355,10 @@ If `V` is a module over `𝕜`, then we show that the space of smooth functions
 is naturally a vector space over the ring of smooth functions from `N` to `𝕜`. -/
 
 
-instance instSmul' {V : Type*} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
+instance instSMul' {V : Type*} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     SMul C^∞⟮I, N; 𝕜⟯ C^∞⟮I, N; 𝓘(𝕜, V), V⟯ :=
   ⟨fun f g => ⟨fun x => f x • g x, Smooth.smul f.2 g.2⟩⟩
-#align smooth_map.has_smul' SmoothMap.instSmul'
+#align smooth_map.has_smul' SmoothMap.instSMul'
 
 @[simp]
 theorem smul_comp' {V : Type*} [NormedAddCommGroup V] [NormedSpace 𝕜 V] (f : C^∞⟮I'', N'; 𝕜⟯)

Search&replace MulZeroClass.mul_zero -> mul_zero, MulZeroClass.zero_mul -> zero_mul.

These were introduced by Mathport, as the full name of mul_zero is actually MulZeroClass.mul_zero (it's exported with the short name).

@@ -204,8 +204,8 @@ instance semiring {R : Type*} [Semiring R] [TopologicalSpace R] [ChartedSpace H'
     SmoothMap.monoid with
     left_distrib := fun a b c => by ext; exact left_distrib _ _ _
     right_distrib := fun a b c => by ext; exact right_distrib _ _ _
-    zero_mul := fun a => by ext; exact MulZeroClass.zero_mul _
-    mul_zero := fun a => by ext; exact MulZeroClass.mul_zero _ }
+    zero_mul := fun a => by ext; exact zero_mul _
+    mul_zero := fun a => by ext; exact mul_zero _ }
 #align smooth_map.semiring SmoothMap.semiring
 
 instance ring {R : Type*} [Ring R] [TopologicalSpace R] [ChartedSpace H' R] [SmoothRing I' R] :

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

@@ -20,61 +20,61 @@ open scoped Manifold
 
 open TopologicalSpace
 
-variable {𝕜 : Type _} [NontriviallyNormedField 𝕜] {E : Type _} [NormedAddCommGroup E]
-  [NormedSpace 𝕜 E] {E' : Type _} [NormedAddCommGroup E'] [NormedSpace 𝕜 E'] {H : Type _}
-  [TopologicalSpace H] {I : ModelWithCorners 𝕜 E H} {H' : Type _} [TopologicalSpace H']
-  {I' : ModelWithCorners 𝕜 E' H'} {N : Type _} [TopologicalSpace N] [ChartedSpace H N]
-  {E'' : Type _} [NormedAddCommGroup E''] [NormedSpace 𝕜 E''] {H'' : Type _} [TopologicalSpace H'']
-  {I'' : ModelWithCorners 𝕜 E'' H''} {N' : Type _} [TopologicalSpace N'] [ChartedSpace H'' N']
+variable {𝕜 : Type*} [NontriviallyNormedField 𝕜] {E : Type*} [NormedAddCommGroup E]
+  [NormedSpace 𝕜 E] {E' : Type*} [NormedAddCommGroup E'] [NormedSpace 𝕜 E'] {H : Type*}
+  [TopologicalSpace H] {I : ModelWithCorners 𝕜 E H} {H' : Type*} [TopologicalSpace H']
+  {I' : ModelWithCorners 𝕜 E' H'} {N : Type*} [TopologicalSpace N] [ChartedSpace H N]
+  {E'' : Type*} [NormedAddCommGroup E''] [NormedSpace 𝕜 E''] {H'' : Type*} [TopologicalSpace H'']
+  {I'' : ModelWithCorners 𝕜 E'' H''} {N' : Type*} [TopologicalSpace N'] [ChartedSpace H'' N']
 
 namespace SmoothMap
 
 @[to_additive]
-protected instance instMul {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G]
+protected instance instMul {G : Type*} [Mul G] [TopologicalSpace G] [ChartedSpace H' G]
     [SmoothMul I' G] : Mul C^∞⟮I, N; I', G⟯ :=
   ⟨fun f g => ⟨f * g, f.smooth.mul g.smooth⟩⟩
 #align smooth_map.has_mul SmoothMap.instMul
 #align smooth_map.has_add SmoothMap.instAdd
 
 @[to_additive (attr := simp)]
-theorem coe_mul {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G]
+theorem coe_mul {G : Type*} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G]
     (f g : C^∞⟮I, N; I', G⟯) : ⇑(f * g) = f * g :=
   rfl
 #align smooth_map.coe_mul SmoothMap.coe_mul
 #align smooth_map.coe_add SmoothMap.coe_add
 
 @[to_additive (attr := simp)]
-theorem mul_comp {G : Type _} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G]
+theorem mul_comp {G : Type*} [Mul G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G]
     (f g : C^∞⟮I'', N'; I', G⟯) (h : C^∞⟮I, N; I'', N'⟯) : (f * g).comp h = f.comp h * g.comp h :=
   rfl
 #align smooth_map.mul_comp SmoothMap.mul_comp
 #align smooth_map.add_comp SmoothMap.add_comp
 
 @[to_additive]
-protected instance instOne {G : Type _} [One G] [TopologicalSpace G] [ChartedSpace H' G] :
+protected instance instOne {G : Type*} [One G] [TopologicalSpace G] [ChartedSpace H' G] :
     One C^∞⟮I, N; I', G⟯ :=
   ⟨ContMDiffMap.const (1 : G)⟩
 #align smooth_map.has_one SmoothMap.instOne
 #align smooth_map.has_zero SmoothMap.instZero
 
 @[to_additive (attr := simp)]
-theorem coe_one {G : Type _} [One G] [TopologicalSpace G] [ChartedSpace H' G] :
+theorem coe_one {G : Type*} [One G] [TopologicalSpace G] [ChartedSpace H' G] :
     ⇑(1 : C^∞⟮I, N; I', G⟯) = 1 :=
   rfl
 #align smooth_map.coe_one SmoothMap.coe_one
 #align smooth_map.coe_zero SmoothMap.coe_zero
 
-instance instNSMul {G : Type _} [AddMonoid G] [TopologicalSpace G] [ChartedSpace H' G]
+instance instNSMul {G : Type*} [AddMonoid G] [TopologicalSpace G] [ChartedSpace H' G]
     [SmoothAdd I' G] : SMul ℕ C^∞⟮I, N; I', G⟯ where
   smul n f := ⟨n • (f : N → G), (smooth_nsmul n).comp f.smooth⟩
 
 @[to_additive existing]
-instance instPow {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G] :
+instance instPow {G : Type*} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G] :
     Pow C^∞⟮I, N; I', G⟯ ℕ where
   pow f n := ⟨(f : N → G) ^ n, (smooth_pow n).comp f.smooth⟩
 
 @[to_additive (attr := simp)]
-theorem coe_pow {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G]
+theorem coe_pow {G : Type*} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G] [SmoothMul I' G]
     (f : C^∞⟮I, N; I', G⟯) (n : ℕ) :
     ⇑(f ^ n) = (f : N → G) ^ n :=
   rfl
@@ -89,14 +89,14 @@ under pointwise multiplication.
 -/
 
 @[to_additive]
-instance semigroup {G : Type _} [Semigroup G] [TopologicalSpace G] [ChartedSpace H' G]
+instance semigroup {G : Type*} [Semigroup G] [TopologicalSpace G] [ChartedSpace H' G]
     [SmoothMul I' G] : Semigroup C^∞⟮I, N; I', G⟯ :=
   FunLike.coe_injective.semigroup _ coe_mul
 #align smooth_map.semigroup SmoothMap.semigroup
 #align smooth_map.add_semigroup SmoothMap.addSemigroup
 
 @[to_additive]
-instance monoid {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
+instance monoid {G : Type*} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
     [SmoothMul I' G] : Monoid C^∞⟮I, N; I', G⟯ :=
   FunLike.coe_injective.monoid _ coe_one coe_mul coe_pow
 #align smooth_map.monoid SmoothMap.monoid
@@ -105,7 +105,7 @@ instance monoid {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
 /-- Coercion to a function as a `MonoidHom`. Similar to `MonoidHom.coeFn`. -/
 @[to_additive (attr := simps) "Coercion to a function as an `AddMonoidHom`.
   Similar to `AddMonoidHom.coeFn`."]
-def coeFnMonoidHom {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
+def coeFnMonoidHom {G : Type*} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
     [SmoothMul I' G] : C^∞⟮I, N; I', G⟯ →* N → G where
   toFun := FunLike.coe
   map_one' := coe_one
@@ -120,8 +120,8 @@ variable (I N)
 @[to_additive "For a manifold `N` and a smooth homomorphism `φ` between additive Lie groups `G'`,
 `G''`, the 'left-composition-by-`φ`' group homomorphism from `C^∞⟮I, N; I', G'⟯` to
 `C^∞⟮I, N; I'', G''⟯`."]
-def compLeftMonoidHom {G' : Type _} [Monoid G'] [TopologicalSpace G'] [ChartedSpace H' G']
-    [SmoothMul I' G'] {G'' : Type _} [Monoid G''] [TopologicalSpace G''] [ChartedSpace H'' G'']
+def compLeftMonoidHom {G' : Type*} [Monoid G'] [TopologicalSpace G'] [ChartedSpace H' G']
+    [SmoothMul I' G'] {G'' : Type*} [Monoid G''] [TopologicalSpace G''] [ChartedSpace H'' G'']
     [SmoothMul I'' G''] (φ : G' →* G'') (hφ : Smooth I' I'' φ) :
     C^∞⟮I, N; I', G'⟯ →* C^∞⟮I, N; I'', G''⟯ where
   toFun f := ⟨φ ∘ f, fun x => (hφ.smooth _).comp x (f.contMDiff x)⟩
@@ -137,7 +137,7 @@ variable (I') {N}
 `C^∞⟮I, V; I', G⟯` to `C^∞⟮I, U; I', G⟯`. -/
 @[to_additive "For an additive Lie group `G` and open sets `U ⊆ V` in `N`, the 'restriction' group
 homomorphism from `C^∞⟮I, V; I', G⟯` to `C^∞⟮I, U; I', G⟯`."]
-def restrictMonoidHom (G : Type _) [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
+def restrictMonoidHom (G : Type*) [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
     [SmoothMul I' G] {U V : Opens N} (h : U ≤ V) : C^∞⟮I, V; I', G⟯ →* C^∞⟮I, U; I', G⟯ where
   toFun f := ⟨f ∘ Set.inclusion h, f.smooth.comp (smooth_inclusion h)⟩
   map_one' := rfl
@@ -148,14 +148,14 @@ def restrictMonoidHom (G : Type _) [Monoid G] [TopologicalSpace G] [ChartedSpace
 variable {I I'}
 
 @[to_additive]
-instance commMonoid {G : Type _} [CommMonoid G] [TopologicalSpace G] [ChartedSpace H' G]
+instance commMonoid {G : Type*} [CommMonoid G] [TopologicalSpace G] [ChartedSpace H' G]
     [SmoothMul I' G] : CommMonoid C^∞⟮I, N; I', G⟯ :=
   FunLike.coe_injective.commMonoid _ coe_one coe_mul coe_pow
 #align smooth_map.comm_monoid SmoothMap.commMonoid
 #align smooth_map.add_comm_monoid SmoothMap.addCommMonoid
 
 @[to_additive]
-instance group {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [LieGroup I' G] :
+instance group {G : Type*} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [LieGroup I' G] :
     Group C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.monoid with
     inv := fun f => ⟨fun x => (f x)⁻¹, f.smooth.inv⟩
@@ -166,21 +166,21 @@ instance group {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [
 #align smooth_map.add_group SmoothMap.addGroup
 
 @[to_additive (attr := simp)]
-theorem coe_inv {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [LieGroup I' G]
+theorem coe_inv {G : Type*} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [LieGroup I' G]
     (f : C^∞⟮I, N; I', G⟯) : ⇑f⁻¹ = (⇑f)⁻¹ :=
   rfl
 #align smooth_map.coe_inv SmoothMap.coe_inv
 #align smooth_map.coe_neg SmoothMap.coe_neg
 
 @[to_additive (attr := simp)]
-theorem coe_div {G : Type _} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [LieGroup I' G]
+theorem coe_div {G : Type*} [Group G] [TopologicalSpace G] [ChartedSpace H' G] [LieGroup I' G]
     (f g : C^∞⟮I, N; I', G⟯) : ⇑(f / g) = f / g :=
   rfl
 #align smooth_map.coe_div SmoothMap.coe_div
 #align smooth_map.coe_sub SmoothMap.coe_sub
 
 @[to_additive]
-instance commGroup {G : Type _} [CommGroup G] [TopologicalSpace G] [ChartedSpace H' G]
+instance commGroup {G : Type*} [CommGroup G] [TopologicalSpace G] [ChartedSpace H' G]
     [LieGroup I' G] : CommGroup C^∞⟮I, N; I', G⟯ :=
   { SmoothMap.group, SmoothMap.commMonoid with }
 #align smooth_map.comm_group SmoothMap.commGroup
@@ -198,7 +198,7 @@ under pointwise multiplication.
 -/
 
 
-instance semiring {R : Type _} [Semiring R] [TopologicalSpace R] [ChartedSpace H' R]
+instance semiring {R : Type*} [Semiring R] [TopologicalSpace R] [ChartedSpace H' R]
     [SmoothRing I' R] : Semiring C^∞⟮I, N; I', R⟯ :=
   { SmoothMap.addCommMonoid,
     SmoothMap.monoid with
@@ -208,12 +208,12 @@ instance semiring {R : Type _} [Semiring R] [TopologicalSpace R] [ChartedSpace H
     mul_zero := fun a => by ext; exact MulZeroClass.mul_zero _ }
 #align smooth_map.semiring SmoothMap.semiring
 
-instance ring {R : Type _} [Ring R] [TopologicalSpace R] [ChartedSpace H' R] [SmoothRing I' R] :
+instance ring {R : Type*} [Ring R] [TopologicalSpace R] [ChartedSpace H' R] [SmoothRing I' R] :
     Ring C^∞⟮I, N; I', R⟯ :=
   { SmoothMap.semiring, SmoothMap.addCommGroup with }
 #align smooth_map.ring SmoothMap.ring
 
-instance commRing {R : Type _} [CommRing R] [TopologicalSpace R] [ChartedSpace H' R]
+instance commRing {R : Type*} [CommRing R] [TopologicalSpace R] [ChartedSpace H' R]
     [SmoothRing I' R] : CommRing C^∞⟮I, N; I', R⟯ :=
   { SmoothMap.semiring, SmoothMap.addCommGroup, SmoothMap.commMonoid with }
 #align smooth_map.comm_ring SmoothMap.commRing
@@ -222,8 +222,8 @@ variable (I N)
 
 /-- For a manifold `N` and a smooth homomorphism `φ` between smooth rings `R'`, `R''`, the
 'left-composition-by-`φ`' ring homomorphism from `C^∞⟮I, N; I', R'⟯` to `C^∞⟮I, N; I'', R''⟯`. -/
-def compLeftRingHom {R' : Type _} [Ring R'] [TopologicalSpace R'] [ChartedSpace H' R']
-    [SmoothRing I' R'] {R'' : Type _} [Ring R''] [TopologicalSpace R''] [ChartedSpace H'' R'']
+def compLeftRingHom {R' : Type*} [Ring R'] [TopologicalSpace R'] [ChartedSpace H' R']
+    [SmoothRing I' R'] {R'' : Type*} [Ring R''] [TopologicalSpace R''] [ChartedSpace H'' R'']
     [SmoothRing I'' R''] (φ : R' →+* R'') (hφ : Smooth I' I'' φ) :
     C^∞⟮I, N; I', R'⟯ →+* C^∞⟮I, N; I'', R''⟯ :=
   { SmoothMap.compLeftMonoidHom I N φ.toMonoidHom hφ,
@@ -235,7 +235,7 @@ variable (I') {N}
 
 /-- For a "smooth ring" `R` and open sets `U ⊆ V` in `N`, the "restriction" ring homomorphism from
 `C^∞⟮I, V; I', R⟯` to `C^∞⟮I, U; I', R⟯`. -/
-def restrictRingHom (R : Type _) [Ring R] [TopologicalSpace R] [ChartedSpace H' R] [SmoothRing I' R]
+def restrictRingHom (R : Type*) [Ring R] [TopologicalSpace R] [ChartedSpace H' R] [SmoothRing I' R]
     {U V : Opens N} (h : U ≤ V) : C^∞⟮I, V; I', R⟯ →+* C^∞⟮I, U; I', R⟯ :=
   { SmoothMap.restrictMonoidHom I I' R h, SmoothMap.restrictAddMonoidHom I I' R h with
     toFun := fun f => ⟨f ∘ Set.inclusion h, f.smooth.comp (smooth_inclusion h)⟩ }
@@ -245,14 +245,14 @@ variable {I I'}
 
 /-- Coercion to a function as a `RingHom`. -/
 @[simps]
-def coeFnRingHom {R : Type _} [CommRing R] [TopologicalSpace R] [ChartedSpace H' R]
+def coeFnRingHom {R : Type*} [CommRing R] [TopologicalSpace R] [ChartedSpace H' R]
     [SmoothRing I' R] : C^∞⟮I, N; I', R⟯ →+* N → R :=
   { (coeFnMonoidHom : C^∞⟮I, N; I', R⟯ →* _), (coeFnAddMonoidHom : C^∞⟮I, N; I', R⟯ →+ _) with
     toFun := (↑) }
 #align smooth_map.coe_fn_ring_hom SmoothMap.coeFnRingHom
 
 /-- `Function.eval` as a `RingHom` on the ring of smooth functions. -/
-def evalRingHom {R : Type _} [CommRing R] [TopologicalSpace R] [ChartedSpace H' R] [SmoothRing I' R]
+def evalRingHom {R : Type*} [CommRing R] [TopologicalSpace R] [ChartedSpace H' R] [SmoothRing I' R]
     (n : N) : C^∞⟮I, N; I', R⟯ →+* R :=
   (Pi.evalRingHom _ n : (N → R) →+* R).comp SmoothMap.coeFnRingHom
 #align smooth_map.eval_ring_hom SmoothMap.evalRingHom
@@ -269,31 +269,31 @@ field `𝕜` inherit a vector space structure.
 -/
 
 
-instance hasSmul {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
+instance hasSmul {V : Type*} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     SMul 𝕜 C^∞⟮I, N; 𝓘(𝕜, V), V⟯ :=
   ⟨fun r f => ⟨r • ⇑f, smooth_const.smul f.smooth⟩⟩
 #align smooth_map.has_smul SmoothMap.hasSmul
 
 @[simp]
-theorem coe_smul {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] (r : 𝕜)
+theorem coe_smul {V : Type*} [NormedAddCommGroup V] [NormedSpace 𝕜 V] (r : 𝕜)
     (f : C^∞⟮I, N; 𝓘(𝕜, V), V⟯) : ⇑(r • f) = r • ⇑f :=
   rfl
 #align smooth_map.coe_smul SmoothMap.coe_smul
 
 @[simp]
-theorem smul_comp {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] (r : 𝕜)
+theorem smul_comp {V : Type*} [NormedAddCommGroup V] [NormedSpace 𝕜 V] (r : 𝕜)
     (g : C^∞⟮I'', N'; 𝓘(𝕜, V), V⟯) (h : C^∞⟮I, N; I'', N'⟯) : (r • g).comp h = r • g.comp h :=
   rfl
 #align smooth_map.smul_comp SmoothMap.smul_comp
 
-instance module {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
+instance module {V : Type*} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     Module 𝕜 C^∞⟮I, N; 𝓘(𝕜, V), V⟯ :=
   Function.Injective.module 𝕜 coeFnAddMonoidHom ContMDiffMap.coe_injective coe_smul
 #align smooth_map.module SmoothMap.module
 
 /-- Coercion to a function as a `LinearMap`. -/
 @[simps]
-def coeFnLinearMap {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
+def coeFnLinearMap {V : Type*} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     C^∞⟮I, N; 𝓘(𝕜, V), V⟯ →ₗ[𝕜] N → V :=
   { (coeFnAddMonoidHom : C^∞⟮I, N; 𝓘(𝕜, V), V⟯ →+ _) with
     toFun := (↑)
@@ -312,7 +312,7 @@ inherit an algebra structure.
 -/
 
 
-variable {A : Type _} [NormedRing A] [NormedAlgebra 𝕜 A] [SmoothRing 𝓘(𝕜, A) A]
+variable {A : Type*} [NormedRing A] [NormedAlgebra 𝕜 A] [SmoothRing 𝓘(𝕜, A) A]
 
 /-- Smooth constant functions as a `RingHom`. -/
 def C : 𝕜 →+* C^∞⟮I, N; 𝓘(𝕜, A), A⟯ where
@@ -355,19 +355,19 @@ If `V` is a module over `𝕜`, then we show that the space of smooth functions
 is naturally a vector space over the ring of smooth functions from `N` to `𝕜`. -/
 
 
-instance instSmul' {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
+instance instSmul' {V : Type*} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     SMul C^∞⟮I, N; 𝕜⟯ C^∞⟮I, N; 𝓘(𝕜, V), V⟯ :=
   ⟨fun f g => ⟨fun x => f x • g x, Smooth.smul f.2 g.2⟩⟩
 #align smooth_map.has_smul' SmoothMap.instSmul'
 
 @[simp]
-theorem smul_comp' {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] (f : C^∞⟮I'', N'; 𝕜⟯)
+theorem smul_comp' {V : Type*} [NormedAddCommGroup V] [NormedSpace 𝕜 V] (f : C^∞⟮I'', N'; 𝕜⟯)
     (g : C^∞⟮I'', N'; 𝓘(𝕜, V), V⟯) (h : C^∞⟮I, N; I'', N'⟯) :
     (f • g).comp h = f.comp h • g.comp h :=
   rfl
 #align smooth_map.smul_comp' SmoothMap.smul_comp'
 
-instance module' {V : Type _} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
+instance module' {V : Type*} [NormedAddCommGroup V] [NormedSpace 𝕜 V] :
     Module C^∞⟮I, N; 𝓘(𝕜), 𝕜⟯ C^∞⟮I, N; 𝓘(𝕜, V), V⟯ where
   smul := (· • ·)
   smul_add c f g := by ext x; exact smul_add (c x) (f x) (g x)

• depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -2,14 +2,11 @@
 Copyright © 2020 Nicolò Cavalleri. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Nicolò Cavalleri
-
-! This file was ported from Lean 3 source module geometry.manifold.algebra.smooth_functions
-! leanprover-community/mathlib commit e5ab837fc252451f3eb9124ae6e7b6f57455e7b9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Geometry.Manifold.Algebra.Structures
 
+#align_import geometry.manifold.algebra.smooth_functions from "leanprover-community/mathlib"@"e5ab837fc252451f3eb9124ae6e7b6f57455e7b9"
+
 /-!
 # Algebraic structures over smooth functions
 

@@ -105,7 +105,7 @@ instance monoid {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]
 #align smooth_map.monoid SmoothMap.monoid
 #align smooth_map.add_monoid SmoothMap.addMonoid
 
-/-- Coercion to a function as an `MonoidHom`. Similar to `MonoidHom.coeFn`. -/
+/-- Coercion to a function as a `MonoidHom`. Similar to `MonoidHom.coeFn`. -/
 @[to_additive (attr := simps) "Coercion to a function as an `AddMonoidHom`.
   Similar to `AddMonoidHom.coeFn`."]
 def coeFnMonoidHom {G : Type _} [Monoid G] [TopologicalSpace G] [ChartedSpace H' G]

Co-authored-by: int-y1 <jason_yuen2007@hotmail.com> Co-authored-by: Jason Yuen <jason_yuen2007@hotmail.com>